Question

1. you can use the expression 2ℓ + 2w to find the perimeter of a rectangle where ℓ is the length and w is the width. use the expression to find the perimeter of the rectangle. show your work. 1/6 yd 2/3 yd

Explanation:

Step1: Identify length and width values

$\ell = 3\frac{2}{3}=\frac{3\times3 + 2}{3}=\frac{11}{3}$ yd, $w=\frac{1}{6}$ yd

Step2: Substitute into perimeter formula

$P = 2\ell+2w=2\times\frac{11}{3}+2\times\frac{1}{6}$
$=\frac{22}{3}+\frac{1}{3}$

Step3: Add the fractions

$P=\frac{22 + 1}{3}=\frac{23}{3}=7\frac{2}{3}$ yd

Answer:

$7\frac{2}{3}$ yd